Accompanied by two backing vocalists and a keyboard player, Katy swerves in and out of the two songs — one a soulful house track, and the other a skulking rock groove — with impressive ease. She’s not the first of her particular English ilk to take on the Monkeys’ latest. Sam Smith covered “Do I Wanna Know?” late last year. And from Little Red, we’ve heard “Crying for No One,”“5 AM,” and the Jessie Ware team-up, “Aaliyah.”